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I'm willing to stipulate an arbitrarily well lubricated excellently
designed ideal scale.
The gamma v term isn't present when you make an ideal reading, as you
measure v to be zero.
Or you at least had to measure v to make your corrections.
> 4) It may be inconvenient for you to make an observation when
> the velocity
> is nonzero, but Hooke's law still applies whether you find it
> convenient or
> not. You can make things more convenient by making a movie
> and analysing
> it frame-by-frame later, to find the value of (x) as a
> function of time....
> Hooke's law is applicable to any (x), whether or not (x) is constant.
>
True. If I understand you correctly, you are saying that in order to use
the spring scale I do not have to line of the pointer next to the tick marks
in such a way that their relative velocities are zero.
We agree that this is highly incovenient,
and not what one does in practice with spring scales;
However,
a) We are still required to make a velocity measurement (and perhaps even
acceleration measurements), as a matter of principle in operating the device
in that matter. I don't think one can escape that reality.
b) I'd even question whether or not you were using the device for an
equilibrium determination of force.
(If the answer is it is not an equilibrium determination), then that
terminates the discussion as we are discussing equilibrium determinations
and whether or not they implicitly involve acceleration (to be discussed
later).